Anticipating Bifurcations of Random Dynamical Systems through Tails of Stationary Densities

SIAM Journal on Applied Dynamical Systems 2026 Open access

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Authors: Wei Hao Tey, Guillermo Olicón-Méndez, Jeroen S. W. Lamb, Kazuyuki Aihara
DOI: 10.1137/25m181235x
Cited by: 0

Abstract

Abstract. We develop an early-warning signal for bifurcations of one-dimensional random difference equations with additive bounded noise, based on the asymptotic behavior of the stationary density near a boundary of its support. We demonstrate the practical use in numerical examples.

Fields of Study & Subjects

Ecosystem dynamics and resilience stochastic dynamics and bifurcation Stability and Controllability of Differential Equations

Publication details

Journal / source
SIAM Journal on Applied Dynamical Systems
Volume
25
Issue
2
Pages
1365–1396
Publication date
18 June 2026
Language
EN